Matched Pairs Models
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 1
Abstract
Matched pairs data can always arise from measuring a response at two variables on different level and it presented in square contingence table way, where the variables have the same category levels. This paper presents a non-convention approach for the analysis of two dimensional tables, when responses are ordered categories. Two variables are considered, and the analysis is done using data compiled from student records, college of science, King AbdulAziz University (2009/2010). The models of symmetry and marginal homogeneity are examined. To link the two models, the concepts of quasi-symmetry, ordinal quasi-symmetry are introduced. The parametric representation of the models is discussed. The expected cell values under the four models are estimated by maximum likelihood methods. A way of looking on the notion of marginal homogeneity conditional on the models of symmetry and quasi-symmetry, and on the models symmetry and ordinal quasi-symmetry being true are presented. Various relationships under models are reached. The related asymptotic distribution under marginal homogeneity is chi-square distribution.
Authors and Affiliations
Dr. Fatma Abdel-Aty, et al.
Keywords
Related Articles
- EP ID EP498319
- DOI -
- Views 66
- Downloads 0
Reduced Euler Equations in Turbulent Incompressible Flows where Pressure Has Isotropy Assumption
We look at reduced Euler Equations in turbulent incompressible flows where pressure has isotropy assumption where we find that vorticity is relative to principle axes. We solve and find how vorticity gives an energy spec...
Livable City Evaluation System Based on Analytic Hierarchy Process
Livable city construction is a product of urban development to post-industrialization. It refers to a city that is relatively livable and is a place of residence with a good living environment, a humanistic social enviro...
Conservation Laws in Cylindrically Symmetric Marder type Spacetimes
We classify here the well known cylindrically symmetric Marder type space-times by their respective maximal isometric groups which give different conservation laws. To find the maximal group of isometries in the above sp...
A Simple Method for Elimination of Wastewater Containing Cr (VI) ion using Adsorption on Low Cost Adsorbent
The use of low-cost adsorbents has been investigated as a replacement for costly adsorbents and methods of removing Cr (VI) ions from aqueous solution. The purpose of this review article is to provide the scattered avail...
The Current Situation and Enlightenment of Korean Middle School Mathematics Education Under the New Curriculum Standard
During the time from China first proposed mathematics reform in 1958 to initially establishing a mature and completing mathematics curriculum system in 2001, we have experienced a lot of difficulties and setbacks in the...